35/27: Difference between revisions

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**Imported revision 301319820 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = septimal semidiminished fourth
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-13 13:54:15 UTC</tt>.<br>
| Color name = zy4, zoyo 4th
: The original revision id was <tt>301319820</tt>.<br>
| Sound = jid_35_27_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
'''35/27''', the '''septimal semidiminished fourth''', is the interval between [[9/7]] and [[5/3]]. It is about 449.3 [[cent]]s in size, [[245/243]] sharp of [[9/7]] and [[351/350]] flat of [[13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">35/27, the semi-diminished fourth, is the interval between [[9_7|9/7]] and [[5_3|5/3]]. It is 351/350 flat of [[13_10|13/10]].</pre></div>
 
<h4>Original HTML content:</h4>
Notice it is also sharp of the just major third by [[28/27]], the subminor second, suggesting the function of a dissonance yet to be resolved down to the major third.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;35_27&lt;/title&gt;&lt;/head&gt;&lt;body&gt;35/27, the semi-diminished fourth, is the interval between &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;. It is 351/350 flat of &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
== See also ==
* [[54/35]] – its [[octave complement]]
* [[81/70]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[:File:Ji-35-27-csound-foscil-220hz.mp3]] – another sound example
 
[[Category:Fourth]]
[[Category:Diminished fourth]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]

Latest revision as of 03:27, 28 April 2023

Interval information
Ratio 35/27
Factorization 3-3 × 5 × 7
Monzo [0 -3 1 1
Size in cents 449.2746¢
Name septimal semidiminished fourth
Color name zy4, zoyo 4th
FJS name [math]\displaystyle{ \text{P4}^{5,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.88417
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.

Notice it is also sharp of the just major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the major third.

See also